Find the radius of a circle in which a sector with central angle 45° has area 154 cm2. (Use $π=\frac{22}{7}$)

$14\sqrt{2}$ cm 14 cm $7\sqrt{2}$ cm $\frac{21\sqrt{2}}{2}$ cm

$14\sqrt{2}$ cm

Area of a circle = 154 cm2 Central angle = 45o According to the question, Area of a circle = \(\frac{θ}{360}\) × πr2  = \(\frac{45}{360}\) × \(\frac{22}{7}\) × r2 = 154 = r2 = 392 r = $14\sqrt{2}$ cm